Mathematics and the Unexpected

Author: Ivar Ekeland

Publisher: University of Chicago Press

ISBN: 9780226199900

Category: Mathematics

Page: 146

View: 5375


"Not the least unexpected thing about Mathematics and the Unexpected is that a real mathematician should write not just a literate work, but a literary one."—Ian Stewart, New Scientist "In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice

Mathematics and the Aesthetic

New Approaches to an Ancient Affinity

Author: Nathalie Sinclair,William Higginson

Publisher: Springer Science & Business Media

ISBN: 9780387381459

Category: Mathematics

Page: 288

View: 2169


This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Mathematics and the Body

Material Entanglements in the Classroom

Author: Elizabeth de Freitas,Nathalie Sinclair

Publisher: Cambridge University Press

ISBN: 1107039487

Category: Education

Page: 312

View: 3703


This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.

Financial Econometrics, Mathematics and Statistics

Theory, Method and Application

Author: Cheng-Few Lee,Hong-Yi Chen,John Lee

Publisher: Springer

ISBN: 1493994298

Category: Business & Economics

Page: 655

View: 5478


This rigorous textbook introduces graduate students to the principles of econometrics and statistics with a focus on methods and applications in financial research. Financial Econometrics, Mathematics, and Statistics introduces tools and methods important for both finance and accounting that assist with asset pricing, corporate finance, options and futures, and conducting financial accounting research. Divided into four parts, the text begins with topics related to regression and financial econometrics. Subsequent sections describe time-series analyses; the role of binomial, multi-nomial, and log normal distributions in option pricing models; and the application of statistics analyses to risk management. The real-world applications and problems offer students a unique insight into such topics as heteroskedasticity, regression, simultaneous equation models, panel data analysis, time series analysis, and generalized method of moments. Written by leading academics in the quantitative finance field, allows readers to implement the principles behind financial econometrics and statistics through real-world applications and problem sets. This textbook will appeal to a less-served market of upper-undergraduate and graduate students in finance, economics, and statistics. ​

Mathematics: A Very Short Introduction

Author: Timothy Gowers

Publisher: OUP Oxford

ISBN: 9780191579417

Category: Mathematics

Page: 160

View: 5471


The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


Author: Timothy Gowers

Publisher: Sterling Publishing Company, Inc.

ISBN: 9781402768972

Category: Mathematics

Page: 180

View: 574


Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.

Handbook of Mathematics and Statistics for the Environment

Author: Frank R. Spellman,Nancy E. Whiting

Publisher: CRC Press

ISBN: 1466586370

Category: Mathematics

Page: 860

View: 5985


A thorough revision of the previous "Environmental Engineer’s Mathematics Handbook," this book offers readers an unusual approach to presenting environmental math concepts, emphasizing the relationship between the principles in natural processes and environmental processes. It integrates the fundamental math operations performed by environmental practitioners for air, water, wastewater, solid/hazardous wastes, biosolids, environmental economics, stormwater operations, and environmental health, safety, and welfare. New material includes quadratic equations, Quadratic equations, Boolean algebra, statistics review, fundamental fire science, basic electricity for environmental practitioners, and environmental health computations and solutions.

The Weil Conjectures

On Maths and the Pursuit of the Unknown

Author: Karen Olsson

Publisher: Bloomsbury Publishing

ISBN: 1526607557

Category: Biography & Autobiography

Page: 224

View: 2801


Simone Weil: famous French philosopher, writer, political activist, mystic – and sister to André, one of the most influential mathematicians of the twentieth century. For Karen Olsson, who studied mathematics at Harvard only to turn to writing as a vocation, the lives and obsessions of these two extraordinary siblings returned her to the intellectual passions of her youth. When Olsson got hold of the 1940 letters between Simone and André, she discovered that André's pursuit of his studies became increasingly incomprehensible to his sister, leading to Simone directly questioning him about the value of such rarefied knowledge as it applied to the lived experience. Struck by this conflict, Olsson revisits her own time at university, how she came to be consumed by mathematics, and the unexpected similarities that can be found between two seemingly opposed subjects. At the core of the book lies her curiosity about the inception of creative thought - that flash of insight - experienced by writers and mathematicians alike. A rare work of non-fiction that intricately weaves together biography, memoir, history and philosophy, and written with prose of precision and poetic lucidity, The Weil Conjectures is nothing short of a complete seduction in the art of mathematics, and the mysterious nature of scientific and creative thought.

Mathematics and Its History

Author: John Stillwell

Publisher: Springer Science & Business Media

ISBN: 1441960538

Category: Mathematics

Page: 662

View: 2307


From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.